Question

Find the value of x.

Answer 1

The value of x is 2.

Explanation:

We know that , when the two chords are intersect inside the circle, the product of their segment are equal.

So, BE × ED = AE × EC

putting the values

x × 3x = 4 × 3

multiply the values

3 x ² = 12

divide 12 by 3

x ² = 12 / 3

x ² = 4

Taking the square root of 4

x = √4

x = 2

The value of x is 2.

Answer 2

Explanation:

When two chords intersect inside the circle, the product of their segments are equal.

BE * ED = AE * EC

x *3x = 4 *3

3x² = 12 {Divide both sides by 3}

x² = 12/3

x² = 4

x = √4

x = 2